What is a discriminant formula? Discriminant, in mathematics, a parameter of an object or system calculated as an aid to its classification or solution. In the case of a quadratic equation ax2+ bx + c = 0, the discriminant is b2− 4ac; for a cubic equation x3+ ax2+ bx + c = 0...
Finding the X & Y Intercepts of a Function | Graph & Equation B-Value: Definition & Explanation Discriminant Formula, Rules & Solutions Horizontal Asymptotes | Equations & Examples End Behavior of Polynomial Functions | Overview & Examples Create an account to start this course today Used by ov...
How many and of which kind of roots does the equation f(x) = x^4 - 2x^3 - 11x^2 + 12x + 36 have? Using the Rational Root Theorem, show work to find the possible roots of this equation. How do you use the rational root theorem to find the roots ...
How to solve a cubic equation, part 1: The shape of the discriminant - Blinn - 2006 () Citation Context ...ods are used widely to solve general implicit equations in one variable. Analytical solutions exist for polynomials of order four or lower; only iterative solutions exist for higher ...
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Find the root of the polynomial equation 2 x + 3 = 0. Finding roots of a cubic polynomial when the discriminant is a square? Can a quadratic equation with rational coefficient have one rational root and one irrational root? Find all rational zeros of the polynomial. P(x) = 3x^{5} -...
A way to solve quadractic equations is making use of this formula x =-b ±√b² - 4ac2a The part (b² - 4ac) is called the "discriminant", because it can "discriminate" between the possible types of answer. If it is positive, you will get two real solutions, if i...
Ask questions, find answers and collaborate at work with Stack Overflow for Teams. Explore Teams Teams Q&A for work Connect and share knowledge within a single location that is structured and easy to search. Learn more about Teams How find the number of zz,such that|a2−b2−b+1|≤10...
Going back to our example of y = 4x 2 + 2x + 1 and knowing that 4 is a, it should be clear that 4 is our leading coefficient. This is true because this is a quadratic equation and the highest exponent on a variable is 2, thus that term will always contain the leading coefficient...
Then, substitute these values into the formula x = (-b ±√(b2 - 4ac)) / 2a to find the solutions for x. 4. Can a 2nd degree equation have no solutions?Yes, a 2nd degree equation can have no solutions if the discriminant, b2 - 4ac, is negative. In this case, the solutions ...